Question

B. Find the Slope and the equation of the line. Use the equation of a line: Non 4. Slope= Equation=

Answer 1

slope = 3

equation: y = 3x

Step-by-step explanation:

usng equation of line: y = mx + c

m = slope, c = y intercept

we find the slope using the formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

We need to pick any two points form the graph:

Using points: (-1, -3) and (1, 3)

`\begin{gathered} x_1=-1,y_1=-3,x_2=1,y_2\text{ = }3 \\ m\text{ =}(3-(-3))/(1-(-1))=(3+3)/(1+1) \\ m\text{ =}(6)/(2) \\ slope\text{ = }m\text{ = 3} \end{gathered}`

The y intercept is the value of y when x = 0

The line of the graph passes the origin (0, 0). As a result, there is no y-intercept.

y = 0 when x = 0

The equation y = mx + c becomes:

y = 3x + 0

y = 3x